A cinema halll contains a certain number of people. If 25/2% are children, 95/2% are men and 84 are women, find the number of men in the hall.

Answer Details

Let's use algebra to solve this problem. Let the total number of people in the hall be x. Then we can write two equations based on the given information: - (25/2)% of x are children: (25/2)% * x = 0.25x - (95/2)% of x are men: (95/2)% * x = 0.95x We know that 84 people in the hall are women. So the total number of men and children in the hall is: x - 84 We can set up an equation using this expression and the two equations we found above: 0.25x + 0.95x = x - 84 Simplifying this equation, we get: 1.2x = x - 84 0.2x = -84 x = -420 This answer doesn't make sense because we can't have a negative number of people in the hall. We made an error somewhere. Let's check our work. We can see that our equation for the total number of people in the hall doesn't take into account the 84 women. We need to add 84 to our equation: x = 0.25x + 0.95x + 84 Simplifying this equation, we get: x = 1.2x + 84 0.2x = 84 x = 420 This is the correct total number of people in the hall. Now we can find the number of men: 0.95x = 0.95 * 420 = 399 So there are 399 men in the hall. Therefore, the answer is option (D) 133.